11525534145244 has 144 divisors (see below), whose sum is σ = 25944371712000. Its totient is φ = 4446036169344.

The previous prime is 11525534145197. The next prime is 11525534145259. The reversal of 11525534145244 is 44254143552511.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 11525534145194 and 11525534145203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12310597 + ... + 13213699.

It is an arithmetic number, because the mean of its divisors is an integer number (180169248000).

Almost surely, 2^{11525534145244} is an apocalyptic number.

11525534145244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11525534145244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972185856000).

11525534145244 is an abundant number, since it is smaller than the sum of its proper divisors (14418837566756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11525534145244 is a wasteful number, since it uses less digits than its factorization.

11525534145244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903312 (or 903303 counting only the distinct ones).

The product of its digits is 1920000, while the sum is 46.

Adding to 11525534145244 its reverse (44254143552511), we get a palindrome (55779677697755).

The spelling of 11525534145244 in words is "eleven trillion, five hundred twenty-five billion, five hundred thirty-four million, one hundred forty-five thousand, two hundred forty-four".